This is not true. The theorem proves point-wise convergence for a continuous functions on a compact subset of R^n. See theorem 2, page 6: http://deeplearning.cs

This is not true. The theorem proves point-wise convergence for a continuous functions on a compact subset of R^n. See theorem 2, page 6: http://deeplearning.cs.cmu.edu/pdfs/Cybenko.pdf http://deeplearning.cs.cmu.edu/pdfs/Cybenko.pdf